3498973632 has 224 divisors, whose sum is σ = 12825008640. Its totient is φ = 908789760.

The previous prime is 3498973589. The next prime is 3498973691. The reversal of 3498973632 is 2363798943.

3498973632 is a `hidden beast` number, since 3 + 498 + 97 + 3 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119908 + ... + 146204.

Almost surely, 2^3498973632 is an apocalyptic number.

3498973632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3498973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412504320).

3498973632 is an abundant number, since it is smaller than the sum of its proper divisors (9326035008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3498973632 is a wasteful number, since it uses less digits than its factorization.

3498973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336 (or 26320 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3498973632 is about 59152.1228021446. The cubic root of 3498973632 is about 1518.1460591545.

The spelling of 3498973632 in words is "three billion, four hundred ninety-eight million, nine hundred seventy-three thousand, six hundred thirty-two".